[EN] Finding a repeated zero for a nonlinear equation f(x) = 0, f : I subset of R -> R has always been of much interest and attention due to its wide applications in many fields of science and engineering. Modified Newton's ...

In this paper we present an infinite family of one-step iterative formulas for solving nonlinear equations (Present Method One), from now on PMI, that can be expressed as xn+1=Fm(xn), with 1<= m<= infinite, integer, Fm ...

[EN] In recent papers, some fractional Newton-type methods have been proposed by using the Riemann-Liouville and Caputo fractional derivatives in their iterative schemes, with order 2 alpha or 1+alpha. In this manuscript, ...

[EN] The problem of solving a nonlinear equation is considered to be one of the significant domain. Motivated by the requirement to achieve more optimal derivative-free schemes, we present an eighth-order optimal derivative-free ...

[EN] In this study, we suggest a new iterative family of iterative methods for approximating the roots with multiplicity in nonlinear equations. We found a lack in the approximation of multiple roots in the case that the ...

This paper presents integral criteria to determine the asymptotic behaviour of the solutions of second order nonlinear differential equations of the type y¿(x)+q(x)f(y(x))=0, with q(x)>0 and f(y) odd and positive for y>0, ...

In this paper we study the dynamical behavior of the -family of iterative methods for solving nonlinear equations, when we apply the fixed point operator associated to this family on quadratic polynomials. This is a family ...

[EN] In this paper, we present a new parametric family of three-step iterative for solving nonlinear equations. First, we design a fourth-order triparametric family that, by holding only one of its parameters, we get to ...

An analysis is presented for the steady non-linear viscous flow of an incompressible viscous fluid over a horizontal surface of variable temperature with a power-law velocity under the influences of suction/blowing, viscous ...

[EN] In this paper, the convergence and dynamics of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Their semilocal convergence is established using ...